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Doss [256]
3 years ago
7

Help NOW i am confuzzled

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

The angles A and B are alternate interior angles, and as such their measure is the same.

This leads to the equation

8x+6=4x+38

Subtract 4x and 6 from both sides to get

8x-4x = 38-6

which simplifies to

4x = 32

Plug this value for 4x in the expression for B to get

B = 4x+38 = 32+38 = 70

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Can somebody please help me find the volume of this triangular prism?
Bas_tet [7]

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216

8 0
3 years ago
A collection of 8 geodes has a mean weight of 14 ounces. A different collection of 12 geodes has a mean weight of 9 ounces. What
labwork [276]

Answer:

The mean weight of the 20 geodes is 11 ounce.

Step-by-step explanation:

Mean weight:

Mean weight is actually the average weight. Add up all weight, then divides by the number objects.

\textrm{Mean weight}=\frac{\textrm{Total weight}}{\textrm{Total number of objects}}

Given that,

A collection of 8 geodes has mean weight of 14 ounce.

Then the total weight of 8 geodes is =(8×14) ounce

                                                             =112  ounce

A different collection of 12 geodes has a mean weight of 9 ounce.

Then the total weight of 8 geodes is =(12×9) ounce

                                                             =108  ounce

Therefore total weight of (12+8) =20 geodes is = (112+108) ounce

                                                                              =220 ounce

The average mean of 20 geodes is

=\frac{220}{20}

=11 ounce.

The mean weight of the 20 geodes is 11 ounce.

7 0
3 years ago
Jinni opened a bank account. she deposited $87.60 into her account every month for 10 months. she used $25.60 every month to pay
LuckyWell [14K]
Amount left in account after paying for music class = $87.60 - $25.60 = $62
Amount in the bank account after 10 months = $62 x 10 = $620
Amount spent to go to the summer camp = 1/4 x $620 = $155
6 0
3 years ago
I wmat to sleep been doing work for an hour help me out
Blizzard [7]

Answer:

A. 23, 37.....

B. 26, 42......

Step-by-step explanation:

have a great day!

3 0
3 years ago
Simplify the following expression.<br><br> 3^0<br><br> simplified form:
Sholpan [36]

Answer:

1

Step-by-step explanation:

Anything to the power of 0 equals to 1

Since this is 3 to the power of 0, it will equal to 1

4 0
3 years ago
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